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Q: How do you end a prime factorilization?

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In order to get three prime numbers to add up to an even number, one of them will have to be even. The only even prime number is 2.144 - 2 = 142.You need to find 2 prime numbers that can add up to 142. 71 is prime and added to itself will be 142, but that won't give you three different prime numbers.Use a list of prime numbers and subtract each prime that is greater than 71 (fewer than primes less than 71) from 142 to see if the difference is another prime:142 - 73 = 69 (not prime)142 - 79 = 63 (not prime)142 - 83 = 59 (prime)142 - 89 = 53 (prime)142 - 97 = 45 (not prime)142 - 101 = 41 (prime)142 - 103 = 39 (not prime)142 - 107 = 35 (not prime)142 - 109 = 33 (not prime)142 - 113 = 29 (prime)142 - 127 = 15 (not prime)142 - 131 = 11 (prime)142 - 137 = 5 (prime)142 - 139 = 3 (prime)You end up with 7 sets of 3 prime numbers that add up to 144:2, 59, 832, 53, 892, 41, 1012, 29, 1132, 11, 1312, 5, 1372, 3, 139

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